Answer:
DOMAIN: The set of all real numbers except 0
[tex]\large\boxed{x\in\mathbb{R}-\{0\}}[/tex]
Step-by-step explanation:
We have a faction.
We know: the denominator must be different from 0. Therefore
[tex]y=\dfrac{5x}{|x-1|}-1\Rightarrow |x-1|\neq0\iff x-1\neq0\iff x\neq1[/tex]
